pls help to explain two PP3 math questions

   1.

Did one one of the 3 members of a centain team sell at least 2 raffle tickets yesterday?

(1) the 3 members sold a total of 6 raffle tickets yesterday.

(2) No 2 of the members sold the same number of raffle tickets yesterday.

key is D...... why? i thought only one is sufficient, what does (2) mean?

2.

How many different prime numbers are factors of the positive integer n?

(1) four different prime numbers are factors of 2n.

(2) four different prime numbers are factors of n^2.

Key is B, totally lost............. Meng ren pls Help...

(1)is clearly suffienet...

(2)任意两个人卖的票数不相等, 就是说有一个卖了1张,另外两个就不能再是1张了,所以也充分

第一题我也不明白，怎么都觉得应该选A。
昨天以供卖了6张，那无论怎么分，三个人总有一个人拿>=2张的。

第二题，今天我也做到了，嘿嘿。
条件一说明不了问题，因为2就是一个质数，所以N的因子有可能是3个，或者4个。
条件二则不同，N^2的因子个数一定是N的两倍，所以是充分的。

for the second question:

(1)中4个不同的质数中可能有一个是2,所以不充分

(2)4个不同质数是N的平方的因子,质数不能再分了,所以他们必定是N的因子